'X' and 'Y' caps dissipate watts only via their ESR, equivalent series resistance, not via their reactive component of impedance....
Long answer short, unless the caps are really crappy, or there is resistance in series with those caps (for damping purposes), they're not going to increase your residential electric bill by squat.
For industrial consumers, who are charged for both Watts and VA, caps typically lower bills as they bring the power factor back toward 1, compensating for the typical, highly inductive loads of electric motors.